Model Predictive Control Strategies for Electric Endurance Race Cars Accounting for Competitors Interactions (2403.06885v1)
Abstract: This paper presents model predictive control strategies for battery electric endurance race cars accounting for interactions with the competitors. In particular, we devise an optimization framework capturing the impact of the actions of the ego vehicle when interacting with competitors in a probabilistic fashion, jointly accounting for the optimal pit stop decision making, the charge times and the driving style in the course of the race. We showcase our method for a simulated 1h endurance race at the Zandvoort circuit, using real-life data of internal combustion engine race cars from a previous event. Our results show that optimizing both the race strategy as well as the decision making during the race is very important, resulting in a significant 21s advantage over an always overtake approach, whilst revealing the competitiveness of e-race cars w.r.t. conventional ones.
- “FIA Formula E, cars + technology.” [Online]. Available: https://www.fiaformulae.com/en/discover/cars-and-technology
- J. van Kampen, T. Herrmann, T. Hofman, and M. Salazar, “Optimal endurance race strategies for a fully electric race car under thermal constraints,” IEEE Transactions on Control Systems Technology, 2023, in press.
- P. G. Anselma, “Optimal adaptive race strategy for a formula-e car,” Proceedings of the Institution of Mechanical Engineers, Part D, 2022.
- X. Liu and A. Fotouhi, “Formula-e race strategy development using artificial neural networks and monte carlo tree search,” Neural Computing and Applications, no. 32, p. 15191–15207, 2020.
- P. Duhr, D. Buccheri, C. Balerna, A. Cerofolini, and C. H. Onder, “Minimum-race-time energy allocation strategies for the hybrid-electric formula 1 power unit,” IEEE Transactions on Vehicular Technology, 2023.
- L. Paparusso, M. Riani, F. Ruggeri, and F. Braghin, “Competitors-aware stochastic lap strategy optimisation for race hybrid vehicles,” IEEE Transactions on Vehicular Technology, 2023.
- A. Liniger and J. Lygeros, “A noncooperative game approach to autonomous racing,” IEEE Transactions on Control Systems Technology, 2020.
- E. L. Zhu, F. L. Busch, J. Johnson, and F. Borrelli, “A gaussian process model for opponent prediction in autonomous racing,” in IEEE/RSJ Int. Conf. on Intelligent Robots & Systems, 2023.
- A. Heilmeier, M. Graf, and M. Lienkamp, “A race simulation for strategy decisions and circuit motorsports,” in Proc. IEEE Int. Conf. on Intelligent Transportation Systems, 2018.
- J. Bekker and W. Lotz, “Planning formula one race strategies using discrete-event simulation,” Journal of the Operational Research Society, 2009.
- A. Heilmeier, M. Graf, and M. Betz, J. andLienkamp, “Application of monte carlo methods to consider probabilistic effects in a race simulation for circuit motorsport,” Applied Sciences, 2020.
- P. Belotti, C. Kirches, S. Leyffer, J. Linderoth, J. Luedtke, and A. Mahajan, “Mixed-integer nonlinear optimization,” Acta Numerica, 2013.
- InMotion, “InMotion fully electric LMP3 car,” 2022. [Online]. Available: https://www.inmotion.tue.nl/en/about-us/cars/revolution
- J. Löfberg, “YALMIP : A toolbox for modeling and optimization in MATLAB,” in IEEE Int. Symp. on Computer Aided Control Systems Design, 2004.
- Gurobi Optimization, LLC. (2021) Gurobi optimizer reference manual. Available online at http://www.gurobi.com.
- J. A. E. Andersson, J. Gillis, G. Horn, J. B. Rawlings, and M. Diehl, “CasADi – A software framework for nonlinear optimization and optimal control,” Mathematical Programming Computation, vol. 11, no. 1, pp. 1–36, 2019.
- A. Wächter and L. Biegler, “On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming,” Mathematical programming, vol. 106, pp. 25–57, 03 2006.